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A line segment has endpoints at #(4 ,9 )# and #(5 ,2)#. If the line segment is rotated about the origin by #pi #, translated vertically by #4 #, and reflected about the xaxis, what will the line segment's new endpoints be?

If a projectile is shot at an angle of #pi/3# and at a velocity of #6 m/s#, when will it reach its maximum height??

What are the extrema of #f(x)=f(x)= x^2 4x +3#?

How does Calcium Hypochlorite disinfect water?

A triangle has corners at #(3 ,5 )#, #(7 ,6 )#, and #(1 ,4 )#. If the triangle is dilated by a factor of #2/3 # about point #(3 ,4 ), how far will its centroid move?

If a #12 kg# object is constantly accelerated from #0m/s# to #4 m/s# over 7 s, how much power musy be applied at #t=1 #?

How do you divide # (48i)/(9+i) # in trigonometric form?

How do you solve # 10 + x  2x^2 <0#?
c) #2 + 7x  3x^2<0#

What is the orthocenter of the triangle formed by the intersection of the lines #x = 4# , #y = 1/2x + 7# , and# y = x + 1#?

How do you graph #(x^36x+5)/(x^23)#?

How do you long divide # (x^3 + 9x^2 + 7x + 3 ) div (x+2) #?

What formula is used to calculate the age of the universe?

What is the net area between #f(x) = cscx xsinx# and the xaxis over #x in [pi/6, (5pi)/8 ]#?

In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?

A triangle has corners A, B, and C located at #(7 ,3 )#, #(4 ,8 )#, and #(3 , 4 )#, respectively. What are the endpoints and length of the altitude going through corner C?

What does alpha and beta signify in portfolio analysis?

How does a star life cycle begin?

A ball with a mass of #9 kg# moving at #3 m/s# hits a still ball with a mass of #21 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?

Let X and Y have joint density given by f(x,y) = 6(1y) for 0 ≤ x ≤ y ≤ 1. What is Cov(X,Y)?

How do you find the slope and intercept of # f(x)=4x8#?

How do you find the inverse of # f(x)=log(x+15)#?

How do you solve the system of equations #8x5y = 17# and #2x + y = 6#?

What is the orthocenter of a triangle with corners at #(4 ,1 )#, #(7 ,4 )#, and (3 ,6 )#?

An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 6 N , 2 N># and the second is #F_2 = < 3 N, 3 N>#. What is the object's rate and direction of acceleration?

A cone has a height of #8 cm# and its base has a radius of #6 cm#. If the cone is horizontally cut into two segments #4 cm# from the base, what would the surface area of the bottom segment be?

Curtis wants to build a model of a 180meter tall building. He will be using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?

The base of a triangular pyramid is a triangle with corners at #(8 ,5 )#, #(2 ,7 )#, and #(3 ,1 )#. If the pyramid has a height of #8 #, what is the pyramid's volume?

What is the electron dot structure for #PCl_3#?

A cone has a height of #6 cm# and its base has a radius of #6 cm#. If the cone is horizontally cut into two segments #3 cm# from the base, what would the surface area of the bottom segment be?

What is the dot product of #<7,2,1 ># and #<0,8,27 >#?

What is meant by a linearly independent set of vectors in #RR^n#? Explain?

How do you differentiate #f(x)= (3x^24 )/ (3x +1 )# using the quotient rule?

What is meant by a linearly independent set of vectors in #RR^n#? Explain?

What is the vertex form of #y=4x^217x+60 #?

A line passes through #(5 ,0 )# and #(7 ,3 )#. A second line passes through #(3 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?

How do you find all the real and complex roots of #x^5  32 = 0#?

An object with a mass of #4 g# is dropped into #650 mL# of water at #0^@C#. If the object cools by #12 ^@C# and the water warms by #30 ^@C#, what is the specific heat of the material that the object is made of?

How do you find all the real and complex roots of #x^5  32 = 0#?

Find the four digit numbers #abcd# that satisfy, #2(abcd)+1000=dcba#?

Question #b3589

How do you use the amplitude and period to graph #f(x) = 3 Sin x + 4 Cos x#?

How do you graph the circle #x^2+y^2+3x+4y+4=0#?

Constructing the angle 75°?

What is the arc length of the polar curve #f(theta) = cos(3thetapi/2) +thetacsc(theta) # over #theta in [pi/12, pi/8] #?

An electron is released from rest in a uniform electric of magnitude 2.00×104 N/C. Calculate the acceleration of the electron (Ignore gravitation)?

Who gained control of the Congo region after King Leopold ll was deposed for human rights violations?

How do you use the rational roots theorem to find all possible zeros of # p(x)= 2x^5+7x^3+6x^215#?

A line segment with endpoints at #(1 , 2 )# and #(4, 1 )# is rotated clockwise by #pi #. What are the new endpoints of the line segment?

A triangle has corners at #(8 , 4 )#, ( 4 , 3)#, and #( 6 , 5 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?

Molly kicks a soccer ball into the air with an initial velocity of 15 m/s. It lands 20 meters from where she kicked it. At what angle did Molly launch the ball?

An object with a mass of # 25 kg# is lying still on a surface and is compressing a horizontal spring by #5/2 m#. If the spring's constant is # 4 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

A triangle has vertices A, B, and C. Vertex A has an angle of #pi/12 #, vertex B has an angle of #pi/12 #, and the triangle's area is #8 #. What is the area of the triangle's incircle?

A ball with a mass of #2 kg# is rolling at #9 m/s# and elastically collides with a resting ball with a mass of #1 kg#. What are the postcollision velocities of the balls?

Who are the Allied Powers? What is their war plan? Why are they aligned politically? What are their goals in the war?

The force applied against an object moving horizontally on a linear path is described by #F(x)=x^3+ 3 #. By how much does the object's kinetic energy change as the object moves from # x in [ 3, 5 ]#?

What reforms did Mao Tse Tung make?

A line segment has endpoints at #(5 ,9 )# and #(8 ,7 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #8 #, and reflected about the yaxis, what will the line segment's new endpoints be?

Show that all Polygonal sequences generated by the Series of Arithmetic sequence with common difference #d, d in ZZ# are polygonal sequences that can be generated by #a_n = an^2+bn+c#?

Two corners of an isosceles triangle are at #(4 ,9 )# and #(9 ,3 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?

Why did Charles V summon Martin Luther to trial?

Two rhombuses have sides with lengths of #2 #. If one rhombus has a corner with an angle of #pi/3 # and the other has a corner with an angle of #(5pi)/8 #, what is the difference between the areas of the rhombuses?

Let #a_n# be a sequence given by: #{1, 6, 15, 28, 45,66,..., f(n)}#. Show that the generating function #f(n)# is of the form # an^2 + bn + c#. Find the formula by computing the coefficients #a, b, c#?

Some very hot rocks have a temperature of #420 ^o C# and a specific heat of #210 J/(Kg*K)#. The rocks are bathed in #45 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

How much work would it take to push a # 1 kg # weight up a # 9 m # plane that is at an incline of # (5pi) / 12 #?

If a current of #4 A# passing through a circuit generates #80 W# of power, what is the resistance of the circuit?